Finding the Fourth Proportional to 1,546.75, 2,134.53 and 838.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.75 : 2,134.53 = 838.60 : x
2. Step 2: Convert to fraction form
   1,546.75/2,134.53 = 838.60/x
3. Step 3: Cross multiply
   1,546.75x = 2,134.53 × 838.60
4. Step 4: Simplify right side
   1,546.75x = 1,790,005.89
5. Step 5: Solve for x
   x = 1,790,005.89/1,546.75
6. Step 6: Final answer
   x = 1,157.27